Answer
$d\approx 9.64$
Work Step by Step
RECALL:
The distance between the points $(x_1, y_1)$ and $x_2, y_2)$ can be found using the distance formula:
$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
Solve for the distance between the two points using the formula above to obtain:
$d=\sqrt{[3\sqrt3-(-\sqrt{3})]^2+(\sqrt{5}-4\sqrt{5})^2}
\\d=\sqrt{(3\sqrt3+\sqrt3)^2+(-3\sqrt5)^2}
\\d=\sqrt{(4\sqrt3)^2+9(5)}
\\d=\sqrt{16(3)+45}
\\d=\sqrt{48+45}
\\d=\sqrt{93}
\\d\approx 9.64$
